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Finding the Fourth Proportional to 26,832, 37,028.16 and 15,651.84

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Solution

The fourth proportional to 26,832, 37,028.16 and 15,651.84 is: 21,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,832 : 37,028.16 = 15,651.84 : x
  2. Step 2: Convert to fraction form
    26,832/37,028.16 = 15,651.84/x
  3. Step 3: Cross multiply
    26,832x = 37,028.16 × 15,651.84
  4. Step 4: Simplify right side
    26,832x = 579,558,835.81
  5. Step 5: Solve for x
    x = 579,558,835.81/26,832
  6. Step 6: Final answer
    x = 21,599.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.